Speed, Time And Distance

SSC SPEED TIME & DISTANCE By Praveet Dixit

Global

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01.

An aeroplane covers a certain distance at a speed of 240 km/hour in 5 hours. To cover the same distance in

2 1 hours it must travel at a speed of : 3 (a) 300 Km/hr (c) 600 Km/hr 02.

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A train passes a 50m long platform in 14 seconds and a man standing on the platform in 10 seconds. The speed of the train is (a) 24 Km/hr (b) 36 Km/hr (c) 40 Km/hr (d) 45 Km/hr A 120 metre long train is running at a speed of 90 km per hour. It will crosses a railway platform 230 m long in

4 1 (a) 4 seconds (b) 9 seconds 5 5 (c) 7 seconds (d) 14 seconds A truck covers a distance of 550 m in 1 min whereas a bus covers a distance of 33 kms in 45 minutes. The ratio of their speed is (a) 4:3 (b) 3:5 (c) 3:4 (d) 50:3 A train passes a telegraph post and a bridge 264 m in 8 seconds and 20 seconds respectively. What is the speed of the train? (a) 69.5 Km/hr. (b) 70 Km/hr. (c) 79 Km/hr. (d) 79.2 Km/hr. A moving train crosses a man standing on a platform and the platform 300 metres long in 10 seconds and 25 seconds respectively. What will be the time taken by the train to cross a platform 200 m Long?

2 sec (b) 18 sec 3 (c) 20 sec (d) 22 sec 08. A train crosses a pole in 15 seconds & a platform 100 metre long in 25 seconds. Its length is (a) 50 (b) 100 (c) 150 (d) 200

The speed of 90 km/hour is same as (a) 9 m/s (b) 20 m/s (c) 25 m/s

(d) 28 m/s

10.

A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr, the time taken by it to covers the same distance will be (a) 10 min (b) 13 min 20 sec (c) 13 min (d) 11 min 20 sec

11.

The speed 3 m/sec when expressed in km/hour

(b) 360 Km/hr (d) 720 Km/hr

A man crosses a road 250 metre wide in 75 seconds. His speed in Km/hr is (a) 10 (b) 12 (c) 12.5 (d) 15

(a) 16

09.

1 3

becomes (a) 8

(b) 9

(c) 10

(d) 12

9 distance by bus and the remaining 20 10 km on foot. His total journey (in kms) is (a) 15 : 6 (b) 24 (c) 18 : 18 (d) 12 : 8 13. A distance is covered by a cyclist at a certain speed. If a joger covers half the distance in double the time, the ration of the speed of the jogger to that of the cyclist is (a) 1 : 4 (b) 4 : 1 (c) 1 : 2 (d) 2 : 1 14. A train covers a certain distance in 210 minutes at a speed of 60 km/h. The time taken by the train, to cover the same distance at a speed of 80 kmph is: 12.

A man covers

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(a) 3 hr

5 8

5 (c) 4 hr 8

(b) 2 hr

(d) 3 hr

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15.

A truck travels 1 2 hours. After that a truck travels at

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90 km/hr for the first 1 hr. After that it travels at 70

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km/hr. Find the time taken by the truck to travel 310 kms. (a) 2.5 hrs (b) 3 hrs (c) 3.5 hrs (d) 4 hrs A train passes two bridges of length 500m and 250m in 100 seconds and 60 seconds respectively. The length of the train is: (a) 125 m (b) 250 m (c) 120m (d) 152 m The distance between 2 places R and S is 42 Km. Anita starts from R with a uniform speed of 4 km/h towards S and at same time Romita starts from S towards R also with some uniform speed. They meet each other after 6 hours. The speed of Romita is

2

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(a) 18 Km/hr (b) 20 Km/hr (c) 3 Km/hr (d) 8 Km/hr Two men are standing on opposite ends of a bridge 1200 m long. If they walk towards each other at the rate of 5 m/min respectively, in how much time will they meet each other? (a) 60 min (b) 120 min (c) 85 min (d) 90 min Two trains, one 160m and the other 140m long are running in opposite direction on parallel tracks, the first at 77 km, an hour and the other. How long will they take to cross each other? (a) 7 sec

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(b) 7

1 sec (c) 6 sec 2

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(d) 10 sec

Two trains of equal length take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time will they cross each other travelling in opposite directions? (a) 16 (b) 15 (c) 12 (d) 10 A train travelling at 48 km/hr crosses another train, having half its length and travelling in opposite direction at 42 km/hr in 12 seconds. It also passes a railway platform in 45 seconds. The length of the railway platform is (a) 200 m (b) 300 m (c) 350m (d) 400 m A jeep is chasing a car which is 5 km ahead. Their respectively speeds are 90 km/hr and 75 km/hr. After how many minutes will the jeep catch the car? (a) 18 min (b) 20 min (c) 24 min (d) 25 min A train 300m long passed a man walking along the line in the same direction at the rate of 3 km/hr in 33 seconds. The speed of the train is (a) 30 km/h (b) 32 km/h 8 8 km/h (d) 35 km/h 11 11 Points ‘A’ and ‘B’ are 70 km apart on a highway and two cars start at the same time. If they travel in the same directions, they travel in the same directions, they meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find the speed of 2 cars (a) 20,30 (b) 40,30 (c) 30,50 (d) 20,40 P, and Q are 27 km away. Two trains with speed of 24 km/hr and 18 km/hr respectively start simultaneously from P and Q and travel in the same direction. They meet at a point R beyond Q. Distance QR is (a) 126 km (b) 81 km (c) 48 km (d) 36 km

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(a)

25.

x y 2 xy

2xy

(b) x  y

2

(c) x  y

(d)

1 1  x y

32.

A bus covers three successive 3 km stretches at speed of 10 km/hr, 20 km/hr and 60 km/hr respectively. Its average speed over this distance is (a) 30 km/hr (b) 25 km/hr (c) 18 km/hr (d) 10 km/hr

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By walking at

(c) 32 24.

Two trains 150 m and 120 m long respectively moving from opposite directions cross each other in 10 sec. If the speed of the second train is 43.2 km/hr then the speed of the first train is (a) 54 km/hr (b) 50 km/hr (c) 52 km/hr (d) 51 km/hr A thief steals a car at 1:30 p.m and drive it off at 40 km/ hr. The thief is discovered at 2 p.m. and the owner sets off in another car at 50 km/hr. He will catch the thief at (a) 5 p.m. (b) 4 p.m. (c) 4.30 p.m. (d) 6 p.m. A train running at the speed of 84 km/hr passes a man walking in opposite direction at the speed of 6 km/hr in 4 seconds. What is the length of train? (a) 150 (b) 120 (c) 100 (d) 90 A person travels 600 km by train at 80 km/hr 800 km by ship at 400 km/hr and 100 km by car at 50 km/hr. What is the average speed for the entire distance? A train covers a distance of 3584 km in 2 days 8 hours. If it covers 1440 km on the first day and 1608 km on the second day, by how much does the average speed of the train for the remaining part of the journey differ from that for the entire journey? (a) 3 km/h (b) 4 km/h (c) 10 km/h (d) 2 km/h A person went from A and B at an average speed of x km/hr and returned from B to A at an average speed of y km/hr. What was his average speed during the total journey

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3 of his usual speed a man reaches his 4

office 20 minutes later than his usual time. The usual time taken by him to reach his office is (a) 75 min (b) 60 min (c) 40 min (d) 30 min In covering a distance of 30 km. Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer, Abhay’s speed is (a) 5 (b) 6 (c) 6.25 (d) 7.5 A man travelled a certain distance by train at the rate

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time, B start from the same point 1 minutes later and A starts from the same point 2 minutes later then C. Then A meets B and C after

of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, the distance was (a) 25 km (b) 30 km (c) 20 km (d) 15 km

(a)

1 36. A car can cover a certain distance in 4 hours by 5 2 km/hr. If the speed is increased by 5 km/hour. It would take

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1 hr less to cover the same distance. Find the 2

slower speed of the car (a) 50 km/hr (b) 40 km/hr (c) 45 km/hr (d) 60 km/hr A car travels from P to Q at a constant speed. If its speed were increased by 10 km/h, it would have taken one hour liner to cover the distance. It would have taken further 45 minutes lesser if the speed was further increased by 10 km/h. The distance between the two cities is (a) 540 km (b) 420 km (c) 600 km (d) 620 km A gun is fired from a fort. A man hears the sound 10 seconds later. If the sound travels at the rate the of 330 m/sec. Find the distance between the fort and the man. (a) 330 km (b) 33 km (c) 3.3 km (d) 0.33 km Two trains start from the station A and B and travels towards each other at speed of 50 km/hr and 60 km/hr respectively. At the time of their meeting the second train has travelled 120 km more than the first. The distance between A and B is (a) 990 km (b) 1200 km (c) 1320 km (d) 1440 km Ravi travels 300 km partly by car. He takes 4 hours to reach. If he travels 60 km by train and rest by car. He will take 10 min more if he were to travel 100 km by train and rest by car. The speed of the train is (a) 50 km/hr (b) 60 km/hr (c) 100 km/hr (d) 120 km/hr In a one-kilometre race A, B and C are the three participants. A can give B a start of 50 m and C a start of 69 m. The start, which B can allow C is (a) 17 m (b) 20 m (c) 19 m (d) 18 m A can give 40 m start to B and 70 m to C in a race of one km. How many metre start can B give to C in a race of one kilometer? (a) 30 m

(b)

700 m 29

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(c) 31 m (d) 32 m

43. A, B, C walk 1 km in 5 minute 8 minute and 10 minute respectively C start walking from a point, at a certain

5 min, 2 min 3

(c) 2 min, 3 min 44.

(b) 1 min, 2 min

(d)

4 , 3 min 3

The diameter of a cycle wheel is 140 cm. The cyclist takes 30 hours to reach his destination at the speed of 22 kmph. How many revolutions will the cycle wheel make during his journey (assume  (a) 1 lakh

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(b) 2 lakh

(c) 3 lakh



22 ) 7 (d)

1 2

1 lakh

A man goes to a place on bicycle at a speed of 16 km/ hr and comes back at lower speed. If the average speed is 6.4 km/hr in total, then the return speed is (a) 10 (b) 8 (c) 6 (d) 4 The time taken by a train 160 m long, running at 72 km/ hr, to cross an electric pole is (a) 8 sec (b) 9 sec (c) 6 sec (d) 4 sec The moving train passes a platform 50 m long in 14 seconds and a lamp post in 10 seconds. The speed of the train is (a) 24 (b) 36 (c) 40 (d) 45 A car moving in the morning fog passes a man walking at 4 km/hr in the same direction. The man can see the car 3 min and visibility is upto a distance of 130 m. The speed of the car is (a) 10 km/hr (b) 6.6 km/hr (c) 7 km/hr (d) 5 km/hr Rubi goes to a mixture at the speed of 3 km/hr to see a movie and reaches 5 min late. If she travels at the speed of 4 km/hr she reaches 5 minutes early. Then the distance of the multiplex from her starting point is (a) 2 km (b) 5 km (c) 2 m (d) 5 m A man travels some distance at the speed of 12 km/hr and returns at a speed of 9 km/hr. If the total time taken by him is 2 hr 20 min, the distance is (a) 35 km (b) 21 km (c) 9 km (d) 12 km There runners A, B and C run a race, with runner A finishing 12m ahead of runner C, in another race of same type runner B finished 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. The length of the race is

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(a) 36 metres (b) 48 metres (c) 60 metres (d) 72 metres A man can cover a certain distance in 3 hours 36 minutes if he walks at the rate of 5 km/hr. If he covers the same distance on cycle at the rate of 24 km/hr, then the time taken by him in minutes is (a) 40 (b) 45 (c) 50 (d) 55 To cover a certain distance with a speed of 60 km/hr, a train takes 15 hours. If covers the same direction in 12 hours, what will be its speed? (a) 65 km/h (b) 70 km/h (c) 75 km/h (d) 80 km/h A man travels 450 km to his home partly by train and partly by car. He takes 8 hours 40 min if he travels 240 km by train and rest by car. He takes 20 mins more if he travels 180 km by train and rest by car. The speed of the car in km/hr is (a) 45 (b) 50 (c) 60 (d) 48

(a) 1000 (c) 750

(b) 900 (d) 500

A man travels 50 km at speed 25 km/h and next 40 km at 20 km/h and there after travel 90 km at 15 km/h. His average speed is (a) 18 (b) 25 (c) 20 (d) 15 A train, 200 m long is running at a speed of 54 km/hr. The time in seconds that will be taken by train to cross at 175 m long bridge is (a) 12.5 (b) 20 (c) 25 (d) 10 A and B run a 5 km race on a second course of 400 m. If their speed are in the ratio 5 : 4, the no. of times, the winner passes the other is (a) 1 (b) 2 (c) 3 (d) 5 A train running at

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of its own speed reached a plane

in 22 hours. How much time could saved if the train would run at its own speed? (a) 14 hours (b) 7 hours (c) 8 hours (d) 16 hours A train is 250 m long if the train takes 50 seconds to cross a tree by the railway line, then the speed of the train in km/hr is (a) 9 (b) 18 (c) 5 (d) 10 If the train with a speed of 60 km/hr, crosses a pole in 30 second. The length of the train (in metres) is:

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